Answer:
The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice
Step-by-step explanation:
The given parameters are;
The volume of the concentrated orange juice = 12 fluid ounce cartons
The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces
The amount of orange juice James need = 4.5 gallons = 576 fluid ounces
Therefore;
The ratio of orange juice concentrate to water is 12:36
Therefore;
Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;
x + y = 4.5 (gallons)...(1)
x:y = 12:36 = 1:3
∴ x/y = 1/3
3·x = y...(2)
From equation (1) and equation (2), we have;
x + y = 4.5
x + 3·x = 4.5
x = 4.5/4 = 1.125
x = 1.125
The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons
∴ y = 3 × x = 3 × 1.125 = 3.375
y = 3.375
The amount of water in the 4.5 gallons of orange juice, y = 3.375
Therefore, we have;
4.5 gallons = 576 fluid ounces
∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces
The amount of fluid ounces per carton = 12 fluidounces/carton
∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice
The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.
Darius makes a shirt for $8. He sells the shirt for $18. By what percentage did Darius increase the cost of the shirt?
Answer:
225%
Step-by-step explanation:
Help, Grades due Friday!
Two triangles are similar. The lengths of the sides of the smaller triangle are 3 inches, 5 inches, and 6 inches, and the length of the longest side of the larger triangle is 18 inches. What is the perimeter of the larger triangle?
A.
14 inches
B.
18 inches
C.
24 inches
D.
42 inches
Answer:
42 (d)
Step-by-step explanation:
the longest side of the smaller one is 6, each side of the larger one is just 3x the length of the smaller side. I hope that makes sense, it's just a ratio. Hope this helped! Good luck!
Answer:
The perimeter of the larger triangle is 42 inches.
Step-by-step explanation:
Since the question mentions that the two triangles are similar, we must establish proportions using what we already know.
Smaller triangle: 3 + 5 + 6 = 14
Larger triangle: x + y + 18 = perimeter
Determine the GCF (greatest common factor):
The GCF is 3.
Now, subsitute the values for x and y by solving via the GCF.
Larger triange: 9 + 15 + 18 = perimeter
9 + 15 + 18 = 42
Hope this helps; have a wonderful day!
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Answer:
A (skewed to the left)
Step-by-step explanation:
28 is a much smaller number (age) than the rest of the data, so it will be a negatively skewed distributio, aka, skewed to the left.
“A left skewed distribution is sometimes called a negatively skewed distribution because it's long tail is on the negative direction on a number line.”
“A distribution skewed to the left is said to be negatively skewed. This kind of distribution has a large number of occurrences in the upper value cells (right side) and few in the lower value cells (left side).”
-8^2+18/ 3=
Evaluate the expression.
I need help plz plspdlspslslsl 7.2 x 7.2 x 7.2 x 7.2 x 7.2 x 7.2
Answer:
Step-by-step explanation:
7.2^6
Answer:
[tex]7.2^{6}[/tex]
Step-by-step explanation:
The answer is [tex]7.2^{6}[/tex] because your multiplying 7.2 6 times.
Hope this helps!
Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
D. The selling price of one striped lanyard.
Answer: The answer is B. The number of striped landyards sold.
Step-by-step explanation:
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?
Answer: [tex]2514.28\ cm^3[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=8\ cm[/tex]
Circumference of the base is [tex]20\pi \ cm[/tex]
suppose 'r' is the radius of the cylinder
[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]
The volume of a cylinder is [tex]V=\pi r^2h[/tex]
[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]
What is the ordered pair for point A & F
A: A = (1, 6) & F= (5,1)
B: A= ( 6, 1) & F = (0,5)
C: A = ( 1, 6) & F = (5, 0)
D: A = (1,6) & F = ( 1,5)
I really need help on this question, because I forgot of how to find the angle of each variable.
Answer:
a = 38 degree
b = 54 degree
c = 54 degree
Step-by-step explanation:
a = 180 - 142 = 38 ( angle on a straight line is equal to 180)
To determine the value of b, we have to find the other missing angle in the triangle.
the value of the missing angle is 38
Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38
b = 180 - (38 + 88) = 54
c = 54
Find the area of the parallelogram
Answer:
18 x 16 = 288
Step-by-step explanation:
Formula of a parallelogram:
BH
(B x height) Your base times your height.
Tavon makes another box with height h inches from a piece of cardboard that meadures 12 inches by 12 inches
Answer:
[tex]Area = 4h^2-56h +144[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required: The base area.
From the question, we have the initial dimensions to be:
[tex]Length = 12[/tex]
[tex]Width = 12[/tex]
h inch were removed from each corner to form the new base. So, the dimension of the new base is:
[tex]Base\ Length = Length - h - h[/tex]
[tex]Base\ Length = Length - 2h[/tex]
[tex]Base\ Width = Width - h-h[/tex]
[tex]Base\ Width = Width - 2h[/tex]
The area of the base is calculated by multiplying the base dimensions
[tex]Area = Base\ Length * Base\ Width[/tex]
[tex]Area = [Length - 2h] * [Width - 2h][/tex]
[tex]Area = [12 - 2h] * [12 - 2h][/tex]
Expand
[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]
[tex]Area = 144 - 28h -28h + 4h^2[/tex]
[tex]Area = 144 -56h + 4h^2[/tex]
Rewrite as:
[tex]Area = 4h^2-56h +144[/tex]
Write 2x - x2 = 1 in standard form.
Answer:
3.45782 x 10^4
Step-by-step explanation:
What is the mood i need help
Answer:
5.
Step-by-step explanation:
The mode is the number that occurs the most in a data set.
Here, the number 5 appears the most.
Answer:
The answer is 5
Step-by-step explanation:
The mode is the value that appears most frequently in a data set.
Hope this helps! Have a nice day!
Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
is/are true?
I. The mean is 5.
II. The median is 4.
III. The mode is 2.
Answer:
III. The mode is 2
Step-by-step explanation:
Mean: (8+2+9+4+2+7+8+0+4+1)/10 = 45/10 = 4.5
Median: (2+7)/2 = 9/2 = 4.5
Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)
The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.
Un móvil sale con una rapidez de 5m/s y alcanza una rapidez de 40m/s en 10s. Determine la distancia recorrida.
Answer:
d = 225 m
Step-by-step explanation:
Initial speed, u = 5 m/s
Final speed, v = 40 m/s
Time, t = 10 s
Acceleration,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2[/tex]
Let d is the distance covered. Using second equation of motion to find it i.e.
[tex]d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m[/tex]
So, it will cover 225 m.
Need answer right now!!
Answer:
20
Step-by-step explanation:
All you do is find an exponent that adds up to 24
The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm, and the height is x?
Answer: [tex]10\ cm^3[/tex]
Step-by-step explanation:
Given
The surface area of a rectangular prism is [tex]34\ cm^2[/tex]
Width of prism [tex]w=1\ cm[/tex]
Length of prism [tex]l=2\ cm[/tex]
height of prism [tex]h=x\ cm[/tex]
Surface area is given by
[tex]S.A.=2[lw+wh+hl][/tex]
Put values
[tex]34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm[/tex]
Now, the volume of Prism is given by
[tex]V=l\times w\times h[/tex]
[tex]\Rightarrow V=2\times1\times 5=10\ cm^3[/tex]
Answer question for brainleist
Answer:
m<D = 52°
Step-by-step explanation:
x + 20 + 3x + 32 = 180
4x + 52 = 180
4x = 128
x = 32
m<D = x + 20 = 32 + 20 = 52°
If x^2 − 4x + 4 = 49, then what is x
Answer:
x=9 x=-5
Step-by-step explanation:
x² − 4x + 4 = 49
(x-2)²= 49
x-2= 7 or x-2=-7
x=9 or x=-5
can someone please help me with my math, im wasting alot of points and im getting either no answers, links, or ppl just wanting points. please help, ill give etrax points, but only if you help with ALL of them
Answer:
Sure what are the questions?
Step-by-step explanation:
Trusted helper Ace Carlos
Answer:
you didnt put any questions.
Step-by-step explanation:
A line with a slope of 5 passes through the point (0,0). What is its equation in slope-intercept form?
Answer:
y=5x or y=5x+0
Step-by-step explanation:
there is a slope of 5 and it has no setoff
If h(x) = 2x² - 5 find h(4x²)
Answer:
8x^4-5
Step-by-step explanation:
8x^4-5
Just substitute 4x^2 into x
Answer:
= 32x^4-5
Step-by-step explanation:
The passengers on Fly Right Airlines have their choice of snacks: peanuts, raisins, or granola. They also have the choice of four beverages: juice, water, milk, or coffee. All choices are equally popular. What is the probability a passenger would choose granola and juice? .
Answer:
The probability of them picking granola is 1/3
The probability of them choosing juice is 1/4
Step-by-step explanation:
Hope it helps :)
Find the area of the regular polygon. Round to the nearest tenth if
necessary.
7.5
5.1
Answer:
that will be 25 if you put 30 in the thing
Is (5, 1) a solution to this system of inequalities?
x + 7y ≥ 12
2x + 9y ≥ 20
Which of the following is a rational number? square root 97square root 98, square root 99, square root 100 square root 97 square root 98 square root 99 square root 100
Answer:
100 feet
Step-by-step explanation:
I did the test hope it helps a lot have a good day
A triangle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?
Answer:
Step-by-step explanation:
Write an equation of the line and interpret the slope.
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
Here is a scatter plot that compares points per game to free throw attempts per game for basketball players in a tournament. The model, represented by y=4.413x+0.377, is graphed with the scatter plot. Here, x represents free throw attempts per game, and y represents points per game.
What does it mean for a point to be far above the line in this situation?
Answer:
Point above the line is an outlier
Step-by-step explanation:
If the point is above the given line then it is clear that it does not fit the best fit curve (which is in this case is the line represented by equation y=4.413x+0.377)
Point above this line means that the point is an outlier which does not fit the curve.
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